$B$ is constant and uniform and in the direction perpendicular to the plane of paper. Velocity of a conducting wire $YZ$ is varying with time as $v = v_0 \ \cos (\omega t)$. Find the value of $\omega$ (in $\text{rad/sec}$) so that heat generated in circuit will be maximum (neglect friction and resistance of rails).

In the figure shown magnetic field×

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